The rate-dependent effect of viscoelasticity plays a critical role in the hardening mechanisms of impact-hardening polymers (IHP) when forcefully impacted. In this study, we used dynamic mechanical analysis (DMA) to characterize the rate-dependent viscoelasticity of an IHP under oscillatory shear. We found that the storage modulus increased by three orders of magnitude within the experimental range when the oscillatory frequency varied from 0.1 to 100 rad/s. To further understand the real strain rate effect of IHP, we introduced the Havriliak-Negami (H–N) model to predict the dynamic viscoelastic behaviors of the IHP for a wider frequency range (from zero to infinity) than that applied in the DMA experiments. Based on the H–N model results, we defined a parameter to describe the rate-dependent effect of the IHP, which was not dependent on the frequency range and reflected the intrinsic material properties of IHP. We used the time-temperature superposition principle (TTSP), which...

中文翻译：

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振荡剪切下冲击硬化聚合物的速率依赖性粘弹性

当受到强力冲击时，粘弹性的速率依赖性效应在冲击硬化聚合物（IHP）的硬化机理中起着关键作用。在这项研究中，我们使用动态力学分析（DMA）来表征振动剪切下IHP的速率依赖性粘弹性。我们发现，当振荡频率从0.1到100 rad / s变化时，储能模量在实验范围内增加了三个数量级。为了进一步了解IHP的实际应变率效应，我们引入了Havriliak-Negami（H–N）模型，以预测比DMA实验所应用的频率范围更广（从零到无穷大）的IHP动态粘弹性行为。 。基于H–N模型的结果，我们定义了一个参数来描述IHP的速率依赖性效应，它不依赖于频率范围，反映了IHP的固有材料特性。我们使用时间-温度叠加原理（TTSP），该原理...